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Finding the Third Proportional to 209,257,726 and 344,564,732

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Solution

The third proportional to 209,257,726 and 344,564,732 is: 567,361,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,257,726 : 344,564,732 = 344,564,732 : x
  2. Step 2: Convert to fraction form
    209,257,726/344,564,732 = 344,564,732/x
  3. Step 3: Cross multiply
    209,257,726x = 344,564,732 × 344,564,732
  4. Step 4: Simplify right side
    209,257,726x = 118,724,854,538,231,824
  5. Step 5: Solve for x
    x = 118,724,854,538,231,824/209,257,726
  6. Step 6: Final answer
    x = 567,361,869.06

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.